結果
問題 | No.1002 Twotone |
ユーザー |
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提出日時 | 2020-02-28 23:17:04 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 1,297 ms / 5,000 ms |
コード長 | 6,140 bytes |
コンパイル時間 | 2,075 ms |
コンパイル使用メモリ | 199,860 KB |
実行使用メモリ | 67,436 KB |
最終ジャッジ日時 | 2024-10-13 19:08:26 |
合計ジャッジ時間 | 13,359 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 33 |
ソースコード
#include <bits/stdc++.h>//#include <unistd.h>//#include <iostream>using namespace std;#define DEBUG(x) cerr<<#x<<": "<<x<<endl;#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl;#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}typedef long long ll;#define int ll#define vi vector<int>#define vl vector<ll>#define vii vector< vector<int> >#define vll vector< vector<ll> >#define vs vector<string>#define pii pair<int,int>#define pis pair<int,string>#define psi pair<string,int>#define pll pair<ll,ll>template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }#define X first#define Y second#define rep(i,n) for(int i=0;i<(n);i++)#define rep1(i,n) for(int i=1;i<=(n);i++)#define rrep(i,n) for(int i=(n)-1;i>=0;i--)#define rrep1(i,n) for(int i=(n);i>0;i--)#define REP(i,a,b) for(int i=a;i<b;i++)#define in(x, a, b) (a <= x && x < b)#define all(c) c.begin(),c.end()template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());const ll inf = 1000000001;const ll INF = (ll)1e18 + 1;const long double pi = 3.1415926535897932384626433832795028841971L;#define Sp(p) cout<<setprecision(25)<< fixed<<p<<endl;//int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};//int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };vi dx = {1, 0, -1, 0}, dy = {0, 1, 0, -1};vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 };#define fio() cin.tie(0); ios::sync_with_stdio(false);const ll MOD = 1000000007;//const ll MOD = 998244353;// #define mp make_pair//#define endl '\n'll ans = 0;int n, k;class CentroidDecomposition {public:int n; //���_��vector<vector<pii>> G; //�O���t�̗אڃ��X�g�\��vector<bool> isused; //���̒��_�����łɕ����Ɏg���Ă��邩vi subtreesize; //�����̃T�C�Y,�X�V�����vi parent;vi centroid; //�d�S�����ɒlj�����Ă���CentroidDecomposition(int n) : n(n) {G.resize(n); isused.resize(n);subtreesize.resize(n); parent.resize(n);}void add_edge(int u, int v, int c) {G[u].push_back(pii(v, c)); G[v].push_back(pii(u, c));}void dfs(int now, int par, pii c, map<pii, int> &mp) {mp[c]++;rep (i, G[now].size()) {int ch = G[now][i].first;int color = G[now][i].second;if (ch == par) continue;if (isused[ch]) continue;pii c2 = c;if (c2.first == color or c2.second == color) {}else if (c2.first == -1) c2.first = color;else if (c2.second == -1) {c2.second = color;if (c2.first > c2.second) swap(c2.first, c2.second);}else continue;dfs(ch, now, c2, mp);}}int search_centroid(int now, int par, int size) {subtreesize[now] = 1;parent[now] = par;bool iscentroid = true;for (int i = 0; i < G[now].size(); i++) {int child = G[now][i].first;if (child == par) continue;if (isused[child]) continue;int child_size = search_centroid(child, now, size);if (child_size > size / 2) iscentroid = false;subtreesize[now] += child_size;}if (size - subtreesize[now] > size / 2) {iscentroid = false;}if (iscentroid) {centroid.push_back(now);}return subtreesize[now];}//���ɂ���ĕς��map<pii, int> solve(int root, int par, int size) {//DEBUG(pii(root, par));search_centroid(root, -1, size);int cent = centroid.back();//DEBUG(cent);map<pii, int> res;dfs(root, par, pii(-1, -1), res);isused[cent] = true;map<pii, int> sum;map<int, int> mono, num;ll mono_sum = 0;rep(i, G[cent].size()) {int ch = G[cent][i].first;int color = G[cent][i].second;if (isused[ch]) {continue;}map<pii, int> mp;if (parent[ch] == cent) {mp = solve(ch, cent, subtreesize[ch]);}else {mp = solve(ch, cent, size - subtreesize[cent]);}map<pii, int> mp2;for (auto itr = mp.begin(); itr != mp.end(); itr++) {pii c = itr->first;if (c.first == color or c.second == color) {mp2[c] += itr->second;}else if (c.first == -1) {c.first = color;mp2[c] += itr->second;}else if (c.second == -1) {c.second = color;if (c.first > c.second) swap(c.first, c.second);mp2[c] += itr->second;}}for (auto itr = mp2.begin(); itr != mp2.end(); itr++) {pii c = itr->first;//UG(c);if (c.second == -1) {int x = c.first;//DEBUG(make_pair(pii(mono[x], num[x]), mono_sum));ans += (mono_sum - mono[x] + num[x]) * itr->second;}else {int x = c.first;int y = c.second;assert (x < y);//DEBUG(make_pair(pii(mono[x], mono[y]), sum[pii(x, y)]));ans += (1 + mono[x] + mono[y] + sum[pii(x, y)]) * itr->second;}}for (auto itr = mp2.begin(); itr != mp2.end(); itr++) {pii c = itr->first;sum[itr->first] += itr->second;if (c.second == -1) {int x = c.first;mono[x] += itr->second;mono_sum += itr->second;}else {int x = c.first, y = c.second;num[x] += itr->second;num[y] += itr->second;}}}/*DEBUG(cent);for (auto itr = res.begin(); itr != res.end(); itr++) {DEBUG(*itr);}//*/return res;}};signed main() {fio();cin >> n >> k;CentroidDecomposition tree(n);rep (i, n - 1) {int u, v, c;cin >> u >> v >> c;u--; v--; c--;tree.add_edge(u, v, c);}tree.solve(0, -1, n);cout << ans << endl;}